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A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains

Leonard E. Baum, +3 more
- 01 Feb 1970 - 
- Vol. 41, Iss: 1, pp 164-171
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This article is published in Annals of Mathematical Statistics.The article was published on 1970-02-01 and is currently open access. It has received 4618 citations till now. The article focuses on the topics: Examples of Markov chains & Markov chain.

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Book

Bayesian Signal Processing: Classical, Modern and Particle Filtering Methods

TL;DR: This book develops the "Bayesian approach" to statistical signal processing for a variety of useful model sets with an emphasis on nonlinear/non-Gaussian problems, as well as classical techniques.
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T-cell epitope vaccine design by immunoinformatics

TL;DR: Different sequence- and structure-based immunoinformatics methods are reviewed in the paper and the increased understanding of antigen recognition at molecular level has resulted in the development of rationally designed peptide vaccines.
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Input-output HMMs for sequence processing

TL;DR: It is demonstrated that IOHMMs are well suited for solving grammatical inference problems on a benchmark problem and able to map input sequences to output sequences, using the same processing style as recurrent neural networks.
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Offline recognition of unconstrained handwritten texts using HMMs and statistical language models

TL;DR: The use of language models is shown to improve the accuracy of the system and the approach is described in detail and compared with other methods presented in the literature to deal with the same problem.
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The mean field theory in EM procedures for Markov random fields

TL;DR: The efficacy of the mean field theory approach is demonstrated on parameter estimation for one-dimensional mixture data and two-dimensional unsupervised stochastic model-based image segmentation and on parameter estimates for both synthetic and real-world images.
References
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Journal ArticleDOI

An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

TL;DR: In this paper, a polynomial with nonnegative coefficients homogeneous of degree d in its variables is shown to be polynomially homogeneous unless 3(3(x))>P(x), where 3(x)=x.
Book

The gamma function

Emil Artin, +1 more
Book ChapterDOI

The Gamma Function

TL;DR: The Gamma function as discussed by the authors is a generalized factorial function that can be used to estimate the probability distribution of a probability distribution, and it has been used in many applications, e.g., as part of probability distributions.
Journal ArticleDOI

An Inequality

Joel Brenner